Discrete Torsion, Covering Groups and Quiver Diagrams

Details Discrete Torsion, Covering Groups and Quiver Diagrams Discrete Torsion, Covering Groups and Quiver Diagrams

2000-11-21

arxiv.org/abs/hep-th/0011192v3

JHEP 0104:037,2001

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 8 figures, some errors corrected

Scientific paper

10.1088/1126-6708/2001/04/037

Without recourse to the sophisticated machinery of twisted group algebras, projective character tables and explicit values of 2-cocycles, we here present a simple algorithm to study the gauge theory data of D-brane probes on a generic orbifold G with discrete torsion turned on. We show in particular that the gauge theory can be obtained with the knowledge of no more than the ordinary character tables of G and its covering group G*. Subsequently we present the quiver diagrams of certain illustrative examples of SU(3)-orbifolds which have non-trivial Schur Multipliers. The paper serves as a companion to our earlier work (arXiv:hep-th/0010023) and aims to initiate a systematic and computationally convenient study of discrete torsion.

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